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Simplifying x2 + -4kx + 7 = 0 Reorder the terms: 7 + -4kx + x2 = 0 Solving 7 + -4kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -4kx + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -4kx + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4kx + x2 = 0 + -7 -4kx + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4kx + x2 = -7 Add '-1x2' to each side of the equation. -4kx + x2 + -1x2 = -7 + -1x2 Combine like terms: x2 + -1x2 = 0 -4kx + 0 = -7 + -1x2 -4kx = -7 + -1x2 Divide each side by '-4x'. k = 1.75x-1 + 0.25x Simplifying k = 1.75x-1 + 0.25x
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